1.

F(x)= x^3+2x^2+2x-5/x^3+3x^2+3x-1​

Answer»

Divide Using LONG Polynomial Division

Set up the polynomials to be DIVIDED. If there is not a term for every exponent, insert one with a value of

0

.

x

3

+

3

x

2

+

3

x

-

1

3

x

3

-

2

x

2

+

2

x

-

5

Divide the HIGHEST order term in the dividend

3

x

3

by the highest order term in divisor

x

3

.

3

x

3

+

3

x

2

+

3

x

-

1

3

x

3

-

2

x

2

+

2

x

-

5

Multiply the new quotient term by the divisor.

3

x

3

+

3

x

2

+

3

x

-

1

3

x

3

-

2

x

2

+

2

x

-

5

+

3

x

3

+

9

x

2

+

9

x

-

3

The expression needs to be subtracted from the dividend, so change all the signs in

3

x

3

+

9

x

2

+

9

x

−

3

3

x

3

+

3

x

2

+

3

x

-

1

3

x

3

-

2

x

2

+

2

x

-

5

-

3

x

3

-

9

x

2

-

9

x

+

3

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

3

+

3

x

2

+

3

x

-

1

3

x

3

-

2

x

2

+

2

x

-

5

-

3

x

3

-

9

x

2

-

9

x

+

3

-

11

x

2

-

7

x

-

2

The final answer is the quotient plus the remainder over the divisor.

3+−11x2−7x−2x3+3x2+3x−1


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